Revisiting the Minimal Nelson-Barr Model

Abstract

We revisit the minimal Nelson-Barr model for solving the strong CP problem through the idea of spontaneous CP breaking. The minimal model suffers from the quality problem, which means that the strong CP angle is generated by higher-dimensional operators and one-loop effects. Consequently, it has been considered that there is a cosmological domain wall problem and that leptogenesis does not work. We point out that just imposing an additional approximate global symmetry solves the quality problem. We also propose a simple solution to the domain wall problem and show that the thermal leptogenesis scenario works.

22 pages, 6 figures, v2: Version accepted in JHEP, v3: Added a discussion of additional higher-dimensional operators. Main conclusions unchanged

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Cited by in corpus (4)

• Leptogenesis in automatic Nelson-Barr models
• Exploring the Landscape of Spontaneous CP Violation in Supersymmetric Theories
• Effective description of Nelson-Barr models and the theta parameter
• Nelson-Barr Models with Vector-Like Quark Doublets